Quantitative Practice Questions Answers
1. A: The average of a group of terms is the sum of the terms divided by the number of terms. The average of Column A is 88.5. The average of Column B is 65.75. Column A is greater.
2. C: Solve for x:
6x + 7 = 25
Subtract 7 from both sides of the equation:
6x = 18
Divide both sides of the equation by 6:
x = 3
Column A and Column B are equal.
3. A: The product is the result of a multiplication problem. The difference is the result of a subtraction problem. You don't need to do the math for this problem. Multiplying two positive numbers always results in a larger number than subtracting the same two numbers, unless there is a zero in the equation. The correct answer is Choice A.
4. B: A 15% discount on the car rental would be rounded to $12.00, bringing the rental cost to $67.99. Column B is greater, Choice B.
5. A: To subtract fractions, find the Least Common Multiple of the denominators and convert the fractions and then subtract.
Column A: 7⁄8 - 5⁄12 = 21⁄24 - 10⁄24= 11⁄24
Column B:3⁄4- 5/16 = 12/16 - 5/16 = 7/16
To compare the two fractions, find the cross-products and compare:
11 x 16 7 x 24
176 168
176 is larger, Choice A.
6. D: The information for the cost of a screw is given, so multiply by 10 to get the value of Column A. The cost of a box of nails is also given, but the number of nails in a box is not given. There is not enough information given to determine which column is larger, therefore Choice D is best.
7. C: A cube has equal length edges. The volume of a cube is base x height x width, so a cube with a volume of 64 cm3 must have sides equaling 4 cm in length, Choice C.
8. B: The area of a square is the side squared. Column A yields a square with an area of x2. Column B yields a square with an area of 4x2. The problem is asking for half the area of Square B, which is 2x2. 2x2 is larger than x2, Choice B.
9. B: Solve for each problem.
Column A: .42 x 64 = 26.88
Column B: .13 x 253 = 32.89
Column B is larger, Choice B.
10. D: Plug in the number 1 for x. Then A is greater than B. But if you plug in (-1), B is greater than A. The answer is Choice D, since neither A nor B is always true.
11. C: Notice that A is simply the factored form of B. There is no need to multiply this out. The answer is Choice C.
12. C: A diagram would help solve this problem:
One face of the cube shares an edge with 4 other faces. The number of sides of a square is 4, Choice C.
13. A: There are 6 even integers between 1 and 13. They are 2, 4, 6, 8, 10, and 12. There are 5 even integers between 2 and 14. They are 4, 6, 8, 10, and 12. The correct answer is Choice A.
14. B: Divide the number of packages of cheese by the amount used
per pizza to find the number of pizzas made:
60 ÷ 2⁄3
60⁄1 x 3⁄2= 90, Choice B.
15. C: The absolute value of a number is its numerical value regardless of the sign:
| -64| = 64
|64| = 64, Choice C.